Pith Number

pith:CZE3OESM

pith:2012:CZE3OESMW74LDXXAVEP4P45OBY

not attested not anchored not stored refs pending

An increment type set-indexed Markov property

Paul Balan\c{c}a

arxiv:1207.6568 v2 · 2012-07-27 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZE3OESMW74LDXXAVEP4P45OBY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:15:32.637048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1649b7124cb7f8b1dee0a91fc7f3ae0e3ba49ec88738d02744c1968fad6aca16

Aliases

arxiv: 1207.6568 · arxiv_version: 1207.6568v2 · doi: 10.48550/arxiv.1207.6568 · pith_short_12: CZE3OESMW74L · pith_short_16: CZE3OESMW74LDXXA · pith_short_8: CZE3OESM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZE3OESMW74LDXXAVEP4P45OBY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1649b7124cb7f8b1dee0a91fc7f3ae0e3ba49ec88738d02744c1968fad6aca16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1940ebea27b7bc92b0930357730ee32a9313d5bff43cf5691f38b1514913ad62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-27T15:15:44Z",
    "title_canon_sha256": "9c4df47043fcdb14a91276daf096f99451c82638bd37a8b23393a7cf85fd0d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6568",
    "kind": "arxiv",
    "version": 2
  }
}